Vector based on a set and in the order of another vector
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This feels like a very basic question, so I hope I am not in the wrong place.
I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].
I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.
Is there a more mathematically exact way of writing this?
Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].
Thanks in advance.
vectors
asked Nov 19 at 15:47
oldmansaur
274
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This feels like a very basic question, so I hope I am not in the wrong place.
I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].
I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.
Is there a more mathematically exact way of writing this?
Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].
Thanks in advance.
vectors
asked Nov 19 at 15:47
oldmansaur
274
I'm not sure what your question is. You just gave the definition.
– user3482749
Nov 19 at 15:48
thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
Nov 19 at 15:52
Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
Nov 19 at 15:54
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
This feels like a very basic question, so I hope I am not in the wrong place.
I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].
I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.
Is there a more mathematically exact way of writing this?
Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].
Thanks in advance.
vectors
asked Nov 19 at 15:47
oldmansaur
274
This feels like a very basic question, so I hope I am not in the wrong place.
I have a set of (color, value) pairs CV={(color_1,value_1), (color_2,value_2) ...} and a vector of colors color = [color_2, color_3, color_1,...].
I want to formally define the vector Value as the values in CV but in the order that the corresponding color appears in the color vector.
Is there a more mathematically exact way of writing this?
Example: CV = {(orange, 7), (red, 3), (blue, 91), (green,22)} and color=[red, blue, green, orange]. Now Value should be Value = [3, 91, 22, 7].
Thanks in advance.
vectors
vectors
asked Nov 19 at 15:47
oldmansaur
274
asked Nov 19 at 15:47
oldmansaur
274
edited Nov 19 at 15:53
asked Nov 19 at 15:47
oldmansaur
274
asked Nov 19 at 15:47
oldmansaur
274
asked Nov 19 at 15:47
oldmansaur
274
274
I'm not sure what your question is. You just gave the definition.
– user3482749
Nov 19 at 15:48
thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
Nov 19 at 15:52
Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
Nov 19 at 15:54
add a comment |
I'm not sure what your question is. You just gave the definition.
– user3482749
Nov 19 at 15:48
thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
Nov 19 at 15:52
Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
Nov 19 at 15:54
I'm not sure what your question is. You just gave the definition.
– user3482749
Nov 19 at 15:48
I'm not sure what your question is. You just gave the definition.
– user3482749
Nov 19 at 15:48
thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
Nov 19 at 15:52
thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
Nov 19 at 15:52
Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
Nov 19 at 15:54
Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
Nov 19 at 15:54
add a comment |
1 Answer
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CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.
answered Nov 19 at 16:32
Stockfish
44726
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.
answered Nov 19 at 16:32
Stockfish
44726
add a comment |
up vote
0
down vote
accepted
CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.
answered Nov 19 at 16:32
Stockfish
44726
add a comment |
up vote
0
down vote
accepted
up vote
0
down vote
accepted
CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.
answered Nov 19 at 16:32
Stockfish
44726
CV defines a map mapping colors to values. Hence we can write $Value = (CV(color_i))_{i=1}^n$, where $n$ is the given dimension.
answered Nov 19 at 16:32
Stockfish
44726
answered Nov 19 at 16:32
Stockfish
44726
answered Nov 19 at 16:32
Stockfish
44726
answered Nov 19 at 16:32
Stockfish
44726
44726
add a comment |
add a comment |
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I'm not sure what your question is. You just gave the definition.
– user3482749
Nov 19 at 15:48
thanks for the swift answer. My question would be: Is there a more mathematically exact way of writing this. Because right now it sounds a bit vague.
– oldmansaur
Nov 19 at 15:52
Not really. What you've said is precise. Given any CV and color, I can define Value precisely.
– user3482749
Nov 19 at 15:54